What is the Greatest Common Factor of 96121 and 96140?

Greatest common factor (GCF) of 96121 and 96140 is 19.

GCF(96121,96140) = 19

We will now calculate the prime factors of 96121 and 96140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96121 and 96140.

How to find the GCF of 96121 and 96140?

We will first find the prime factorization of 96121 and 96140. After we will calculate the factors of 96121 and 96140 and find the biggest common factor number .

Step-1: Prime Factorization of 96121

Prime factors of 96121 are 19, 5059. Prime factorization of 96121 in exponential form is:

96121 = 19¹ × 5059¹

Step-2: Prime Factorization of 96140

Prime factors of 96140 are 2, 5, 11, 19, 23. Prime factorization of 96140 in exponential form is:

96140 = 2² × 5¹ × 11¹ × 19¹ × 23¹

Step-3: Factors of 96121

List of positive integer factors of 96121 that divides 96121 without a remainder.

1, 19, 5059

Step-4: Factors of 96140

List of positive integer factors of 96140 that divides 96121 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 23, 38, 44, 46, 55, 76, 92, 95, 110, 115, 190, 209, 220, 230, 253, 380, 418, 437, 460, 506, 836, 874, 1012, 1045, 1265, 1748, 2090, 2185, 2530, 4180, 4370, 4807, 5060, 8740, 9614, 19228, 24035, 48070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96121 and 96140. The biggest common factor number is the GCF number.
So the greatest common factor 96121 and 96140 is 19.

Also check out the Least Common Multiple of 96121 and 96140